TY - JOUR
T1 - Scully-Lamb quantum laser model for parity-time-symmetric whispering-gallery microcavities
T2 - Gain saturation effects and nonreciprocity
AU - Arkhipov, Ievgen I.
AU - Miranowicz, Adam
AU - Di Stefano, Omar
AU - Stassi, Roberto
AU - Savasta, Salvatore
AU - Nori, Franco
AU - Özdemir, Şahin K.
N1 - Publisher Copyright:
© 2019 American Physical Society.
PY - 2019/5/6
Y1 - 2019/5/6
N2 - We use a non-Lindbladian master equation of the Scully-Lamb laser model for the analysis of light propagation in a parity-time symmetric photonic system composed of coupled active and passive whispering-gallery microresonators. Performing the semiclassical approximation, we obtain a set of two nonlinear coupled differential equations describing the time evolution of intracavity fields. These coupled equations are able to explain the experimentally observed light nonreciprocity [Peng et al., Nat. Phys. 10, 394 (2014)1745-247310.1038/nphys2927; Chang et al., Nat. Photon. 8, 524 (2014)1749-488510.1038/nphoton.2014.133]. We show that this effect arises from the interplay between gain saturation in the active microcavity, intercavity coupling, and losses in the cavities. Additionally, using this approach, we study the effect of the gain saturation on exceptional points, i.e., exotic degeneracies in non-Hermitian systems. Namely, we demonstrate that the inclusion of gain saturation leads to a modification of the exceptional points in the presence of intense intracavity fields. The Scully-Lamb master equation for systems of coupled optical structures, as proposed and applied here, constitutes a promising tool for the study of quantum optical effects in coupled systems with losses, gain, and gain saturation.
AB - We use a non-Lindbladian master equation of the Scully-Lamb laser model for the analysis of light propagation in a parity-time symmetric photonic system composed of coupled active and passive whispering-gallery microresonators. Performing the semiclassical approximation, we obtain a set of two nonlinear coupled differential equations describing the time evolution of intracavity fields. These coupled equations are able to explain the experimentally observed light nonreciprocity [Peng et al., Nat. Phys. 10, 394 (2014)1745-247310.1038/nphys2927; Chang et al., Nat. Photon. 8, 524 (2014)1749-488510.1038/nphoton.2014.133]. We show that this effect arises from the interplay between gain saturation in the active microcavity, intercavity coupling, and losses in the cavities. Additionally, using this approach, we study the effect of the gain saturation on exceptional points, i.e., exotic degeneracies in non-Hermitian systems. Namely, we demonstrate that the inclusion of gain saturation leads to a modification of the exceptional points in the presence of intense intracavity fields. The Scully-Lamb master equation for systems of coupled optical structures, as proposed and applied here, constitutes a promising tool for the study of quantum optical effects in coupled systems with losses, gain, and gain saturation.
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U2 - 10.1103/PhysRevA.99.053806
DO - 10.1103/PhysRevA.99.053806
M3 - Article
AN - SCOPUS:85065319884
SN - 2469-9926
VL - 99
JO - Physical Review A
JF - Physical Review A
IS - 5
M1 - 053806
ER -